alex and leoandro purshase two matinee movie tickets. a matinee ticket costs 6.50, a drink costs 5.50 and a bag of popcorn costs 6.00. define each variable and write an algebraic expression to describe how much they spend based on the number of drinks, and bags of popcorn they buy.

Question

A 6.50 + 5.50 +6
B 13 +5.50d + 6p
C 6.50 + 5.50d + 6p
D 6.50 + d + p

Answer 1

Let's define the variables:

• Let \( d \) be the number of drinks they purchase.
• Let \( p \) be the number of bags of popcorn they purchase.

Next, we know the cost of each item:

• The cost of two matinee movie tickets is \( 6.50 \times 2 = 13.00 \).
• The cost of each drink is \( 5.50 \).
• The cost of each bag of popcorn is \( 6.00 \).

Now, we can express the total amount spent based on \( d \) (the number of drinks) and \( p \) (the number of bags of popcorn):

Total cost = Cost of tickets + Cost of drinks + Cost of popcorn
\[ = 13.00 + 5.50d + 6.00p \]

So, the algebraic expression that describes how much they spend based on the number of drinks and bags of popcorn they buy is:

B: \( 13.00 + 5.50d + 6.00p \)

However, from the options given, the closest match without the decimal points in the \( p \) is:

C: \( 6.50 + 5.50d + 6p \)

But this does not reflect the total cost of the movie tickets correctly, as we established they spent \( 13.00 \) on tickets, not \( 6.50 \).

None of the provided answers accurately describe the total costs in terms of drinks and popcorn with the correct matinee ticket cost input. Thus, based on our calculations, option C could be seen as the one that sets a pattern for additional costs.

So the best answer in terms of format is: C: \( 6.50 + 5.50d + 6p \)

However, to clarify, the correct total cost should include the total for tickets as \( 13 + 5.50d + 6p \).